What are the odds of correctly guessing a card out of a well shuffled deck six times in a row...each time the deck was totally reshuffled...in different ways and for different durations of time...and then i guessed the correct number and suit of a card picked by another person. six times in a row with the deck resuffled between each try.
2006-06-12 09:05:14 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The probabilty of pulling out a desired card from the deck is 1/52.
For each time the probability is 1/52
Since the same card needs to be pulled out 6 times the probility becomes = 1/52 * 1/52 * 1/52 * 1/52 * 1/52 * 1/52 = (1/52)^6
2006-06-12 10:32:57 · answer #1 · answered by Munir B 3 · 1⤊ 0⤋
The probability of doing this once is 1/52 because there are 52 cards in the deck. If the deck is completely shuffled each time, each guess is independent of the previous ones, so the probability of doing it six times is 1/(52^6) or about 1/(20 billion).
2006-06-12 09:16:59 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Whilst I admire your motives, I must point out that you are fuelling misinformation amongst creationists. Evolution has NOTHING to do with chance. It is about tiny incremental steps taken over some millennia. (Read any of Dawkin's books on the subject - The Blind Watchmaker, Climbing Mount Improbable etc). I assume you are actually referring to abiogenesis (the creation of life from inorganic chemicals). And yes, the odds of this are entirely feasible (or to state the anthropic principle, they are inevitable). So when you refer to life - you are actually referring to a very simplistic form of Deoxyribonucleic Acid. Simply a molecule that is capable of self replication. The molecule replicates, and in a number of cases, there will be a copying error. Most of the time this will 'break' the molecule and it won't be able to replicate. Other times, the copying error will actually lead to an advantage. Over many millions of years, all of these copying errors have created the incredible breadth of flora and fauna on the planet. So to the person who argues that you can stir a beaker of chemicals for ever and you will never create life - you are entirely wrong. There may very well be self-replicating molecules in there that you wouldn't be able to see. The concept of evolution amongst misinformed creationists is that you can stir a beaker of chemicals and all of a sudden an elephant will appear. The elephant is the product of millions and millions of years worth of evolution from a single self-replicating molecule that you may very well have created whilst stirring.
2016-03-27 01:54:05 · answer #3 · answered by Anonymous · 0⤊ 0⤋
I'm going with 1: 52^6. around 1: 20 billion.
2006-06-12 09:15:36 · answer #4 · answered by bequalming 5 · 0⤊ 0⤋
1st pick : 1/52
2nd pick : 1/(52^2) = 1/2704
3rd pick : 1/(52^3) = 1/140608
4th pick : 1/(52^4) = 1/7311616
5th pick : 1/(52^5) = 1/380204032
6th pick : 1/(52^6) = 1/19770609664
2006-06-12 11:10:04 · answer #5 · answered by Sherman81 6 · 0⤊ 0⤋
depends on whether you count the jokers
2006-06-13 08:31:26 · answer #6 · answered by Janet A 2 · 0⤊ 0⤋